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Finding the Fourth Proportional to 612.12, 844.11 and 501.24

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Solution

The fourth proportional to 612.12, 844.11 and 501.24 is: 691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.12 : 844.11 = 501.24 : x
  2. Step 2: Convert to fraction form
    612.12/844.11 = 501.24/x
  3. Step 3: Cross multiply
    612.12x = 844.11 × 501.24
  4. Step 4: Simplify right side
    612.12x = 423,101.70
  5. Step 5: Solve for x
    x = 423,101.70/612.12
  6. Step 6: Final answer
    x = 691.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.